Hand Positioning

I got a professional bike fit a few weeks ago. Feeling pretty good, but I'm noticing that my hands are a bit more comfortable a few cm behind the hoods. I can still reach the levers and everything fine. My hands are positioned similar to this, and not like this.

Is this fine, or a sign that I need to go back?

I have a bit of back pain when nestled truly in the hoods. Could this be a weak core issue as well?

Thanks